# X and Y are jointly uniformly distributed and their joint PDF is given by: fX,Y(x,y) = {k , 0<=x<=4, 0 <=y <= 8 0 , otherwise } a.) find the value of k that makes the joint PDF valid b.) c...

X and Y are jointly uniformly distributed and their joint PDF is given by:

fX,Y(x,y) = {k , 0<=x<=4, 0 <=y <= 8

0 , otherwise }

a.) find the value of k that makes the joint PDF valid

b.) compute the probability P[(X-2)^2 + (Y-2)^2 < 4]

c.) compute the probability P[Y > 0.5X + 5]

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